The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links | Zendy

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The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links

Author(s) -

Rogers Colin

Publication year - 2016

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201500019

Subject(s) - integrable system , reciprocal , quintic function , gauge (firearms) , mathematical physics , transformation (genetics) , reduction (mathematics) , gauge theory , nonlinear system , mathematics , classical mechanics , physics , quantum mechanics , geometry , materials science , chemistry , philosophy , linguistics , biochemistry , metallurgy , gene

This classical Korteweg capillarity system is here encapsulated in a quintic derivative nonlinear Schrödinger equation for a model Kármán‐Tsien type capillarity law. An integrable subsystem is isolated and invariants of motion are use to construct novel exact solutions. The latter involve parameters introduced via a gauge and reciprocal transformation.

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